High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 5، شماره 2 - شماره پیاپی 8، دی 2015، صفحه 1-10   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v5i2.40344

نویسندگان

A. Abdi^* ؛ G. Hojjati

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

چکیده

‎We describe the construction of second derivative general linear methods (SGLMs) of orders five and six‎. ‎We will aim for methods which are A--stable and have Runge--Kutta stability property‎. ‎Some numerical results are given to show the efficiency of the constructed methods in solving stiff initial value problems‎.

کلیدواژه‌ها

Ordinary differential equation؛ General linear methods؛ Runge--Kutta stability؛ A--stability؛ Second derivative methods

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